# A container has a volume of #18 L# and holds #6 mol# of gas. If the container is compressed such that its new volume is #3 L#, how many moles of gas must be released to maintain a constant temperature and pressure?

At constant temperature and pressure, we can use Avogadro's law, which states that

So, we need to find the new number of moles, and we can rearrange the equation into,

Now, we can substitute into the given values, and we get

So, five moles of the gas must be released.

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To maintain constant temperature and pressure, the number of moles of gas must remain constant. Therefore, the number of moles of gas released when the volume is compressed from 18 L to 3 L is 6 moles - (18 L / 3 L) = 6 moles - 6 moles = 0 moles. Thus, no moles of gas need to be released.

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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

- A container has a volume of #18 L# and holds #9 mol# of gas. If the container is compressed such that its new volume is #12 L#, how many moles of gas must be released from the container to maintain a constant temperature and pressure?
- A container with a volume of #8 L# contains a gas with a temperature of #270^o C#. If the temperature of the gas changes to #360 ^o K# without any change in pressure, what must the container's new volume be?
- A container has a volume of #8 L# and holds #1 mol# of gas. If the container is expanded such that its new volume is #9 L#, how many moles of gas must be injected into the container to maintain a constant temperature and pressure?
- The gas inside of a container exerts #42 Pa# of pressure and is at a temperature of #420 ^o K#. If the pressure in the container changes to #72 Pa# with no change in the container's volume, what is the new temperature of the gas?
- How do you measure fluid flow?

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